Several forecasts have also been presented for the accuracy that could be obtained on \(\Xi _0\)  in the near future and with third-generation detectors such as the Einstein Telescope (ET) [1]}, [2]} and Cosmic Explorer [3]}, or for the LISA space interferometer [4]}.
In particular, refs. [5]}, [6]} provide estimates for the accuracy that could be obtained at ET, using BNS with gamma-ray bursts (GRB) as counterparts (see
[7]}, [8]} for further studies of BNS with counterparts), while the perspective for detecting modified GW propagation at 3G detectors from the reconstruction of the BNS mass function is discussed in [9]}; ref. [10]} studies the accuracy that could be obtained on \(\Xi _0\)  using the tidal deformation of neutron stars; forecasts of the accuracy that could be obtained in the future from BBHs
by performing cross-correlations with galaxy surveys are presented in [11]}, [12]}, while
the possibility of measuring \(\Xi _0\)  at ground-based detectors with strongly lensed GW events has been discussed in [13]}.
For LISA, forecasts have been presented
in [14]}, using the coalescence of supermassive black holes (SMBH), and
in [15]}, correlating between LISA SMBH events with the prediction for large scale structures of a specific modified gravity model (of the Horndeski class).
